Search for Lambda^2/p^2 corrections to the QCD running coupling

We investigate the occurrence of power terms $(Lambd{a}^2\mathrm{/}{p}^2$ in the running QCD coupling by analysing non-perturbative measurements of ${\alpha }_s(p)$ at quite low momenta obtained from the lattice three-gluon vertex. Our study provides some evidence for such a contribution. The phenomenological implications of such a presence are reviewed.